dws008-01

benchmark decomposition benchmark_suitable precedence variable_bound set_partitioning set_packing mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Philipp Leise	11096	6064	8.38211e-04	easy	dws	37412.60458794508	dws008-01.mps.gz

MILP for designing a decentralized water supply system for drinking water in skyscrapers. The nonlinear characteristics of pumps are integrated with the help of an aggregated convex combination. The instances vary in the total number of floors and load scenarios for water demand. First stage variables represent the layout decisions, second stage variables represent the operational parameters, such as the continuous rotating speed of pumps or binary switching decisions. Solved with COPT 7.0 using up to 12 threads in less than 40 minutes.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	11096	10911
Constraints	6064	5655
Binaries	6608	6424
Integers	0	0
Continuous	4488	4487
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.000838211	0.000896069
Nonzeroes	56400	55289

Constraint Classification Properties
	Original	Presolved
Total	6064	5655
Empty	0	0
Free	0	0
Singleton	64	0
Aggregations	0	0
Precedence	280	305
Variable Bound	840	501
Set Partitioning	84	84
Set Packing	28	28
Set Covering	0	0
Cardinality	0	0
Invariant Knapsack	0	0
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	4768	4737
General Linear	0	0
Indicator	0	0

Structure

Available nonzero structure and decomposition information. Further information can be found here.

Nonzero entries of original problem

Nonzero entries after trivial presolving

Decomposed structure of original problem (dec-file)

Decomposed structure after trivial presolving (dec-file)

	value	min	median	mean	max
Components	1.934498
Constraint %		0.86649	1.05414	0.86649	16.81700
Variable %		1.10593	1.16421	1.10593	6.05978
Score	0.877781

Best Known Solution(s)

Find solutions below. Download the archive containing all solutions from the Download page.

ID	Objective	Exact	Int. Viol	Cons. Viol	Obj. Viol	Submitter	Date	Description
1	37412.6	37412.6	0	0	0	-	2018-10-12	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to dws008-01 in the collection. This similarity analysis is based on 100 scaled instance features describing properties of the variables, objective function, bounds, constraints, and right hand sides.

Instance	Status	Variables	Binaries	Continuous	Constraints	Nonz.	Submitter	Group	Objective	Tags
dws012-01	open	26148	15576	10572	14280	132936	Philipp Leise	dws	82030.55222223999*	decomposition precedence variable_bound set_partitioning set_packing mixed_binary
dws008-03	hard	32280	18928	13352	16344	165168	Philipp Leise	dws	62831.7633546923	decomposition precedence variable_bound set_partitioning set_packing invariant_knapsack mixed_binary
dws012-02	open	51108	30096	21012	26382	261120	Philipp Leise	dws	126211.9341071*	aggregations precedence variable_bound set_partitioning set_packing invariant_knapsack mixed_binary
dws012-03	open	76068	44616	31452	38484	389304	Philipp Leise	dws	140473.60932083728*	precedence variable_bound set_partitioning set_packing invariant_knapsack mixed_binary
neos2	easy	2101	1040	1061	1103	7326	NEOS Server Submission	neos-pseudoapplication-93	454.86469703	decomposition benchmark_suitable precedence variable_bound set_partitioning mixed_binary

Reference

@inproceedings{AltherrPelzIREC2016, 
author = "Altherr, Lena C. and Wolf, Jan and Ederer, Thorsten and Leise, Philipp and Pelz, Peter F.", 
title="Algorithmic Design of an Optimal Water Supply System with TOR",
year="2016",
booktitle={3rd International Rotating Equipment Conference}
}